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Finding the Third Proportional to 303,726 and 480,328.50

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Solution

The third proportional to 303,726 and 480,328.50 is: 759,617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,726 : 480,328.50 = 480,328.50 : x
  2. Step 2: Convert to fraction form
    303,726/480,328.50 = 480,328.50/x
  3. Step 3: Cross multiply
    303,726x = 480,328.50 × 480,328.50
  4. Step 4: Simplify right side
    303,726x = 230,715,467,912.25
  5. Step 5: Solve for x
    x = 230,715,467,912.25/303,726
  6. Step 6: Final answer
    x = 759,617.12

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.